Volume 25, Issue 1, February 2018, Pages 166 - 177
On the discretization of Laine equations
Authors
Kostyantyn Zheltukhin
Middle East Technical University, Department of Mathematics, Universiteler Mahallesi, Dumlupinar Bulvar No:1, 06800 Cankaya, Ankara, Turkey,zheltukh@metu.edu.tr
Natalya Zheltukhina
Department of Mathematics, Faculty of Science, Bilkent University, 06800 Bilkent, Ankara, Turkey,natalya@fen.bilkent.edu.tr
Received 20 July 2017, Accepted 31 July 2017, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2018.1440748How to use a DOI?
- Keywords
- Semi-discrete chain; Darboux integrability; x-integral; n-integral; discretization
- Abstract
We consider the discretization of Darboux integrable equations. For each of the integrals of a Laine equation we constructed either a semi-discrete equation which has that integral as an n-integral, or we proved that such an equation does not exist. It is also shown that all constructed semi-discrete equations are Darboux integrable.
- Copyright
- © 2018 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Kostyantyn Zheltukhin AU - Natalya Zheltukhina PY - 2021 DA - 2021/01/06 TI - On the discretization of Laine equations JO - Journal of Nonlinear Mathematical Physics SP - 166 EP - 177 VL - 25 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2018.1440748 DO - 10.1080/14029251.2018.1440748 ID - Zheltukhin2021 ER -